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2225461261413 = 31329531272411213
BaseRepresentation
bin100000011000100111110…
…100111111010001100101
321212202022012222121222110
4200120213310333101211
5242430221040331123
64422210210151233
7316533001414635
oct40304764772145
97782265877873
102225461261413
117888a3956595
122bb386582519
13131b2482a4b0
14799da2a86c5
153cd51889493
hex20627d3f465

2225461261413 has 128 divisors (see below), whose sum is σ = 3411513262080. Its totient is φ = 1280728350720.

The previous prime is 2225461261411. The next prime is 2225461261421. The reversal of 2225461261413 is 3141621645222.

2225461261413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2225461261413 - 21 = 2225461261411 is a prime.

It is a super-2 number, since 2×22254612614132 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225461261411) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1834674795 + ... + 1834676007.

It is an arithmetic number, because the mean of its divisors is an integer number (26652447360).

Almost surely, 22225461261413 is an apocalyptic number.

It is an amenable number.

2225461261413 is a deficient number, since it is larger than the sum of its proper divisors (1186052000667).

2225461261413 is a wasteful number, since it uses less digits than its factorization.

2225461261413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679.

The product of its digits is 138240, while the sum is 39.

The spelling of 2225461261413 in words is "two trillion, two hundred twenty-five billion, four hundred sixty-one million, two hundred sixty-one thousand, four hundred thirteen".

Divisors: 1 3 13 29 39 53 87 127 159 241 377 381 689 723 1131 1213 1537 1651 2067 3133 3639 3683 4611 4953 6731 6989 9399 11049 12773 15769 19981 20193 20967 30607 35177 38319 47307 47879 59943 64289 87503 90857 91821 105531 143637 154051 166049 192867 195199 262509 272571 292333 370417 397891 457301 462153 498147 585597 835757 876999 887603 1111251 1193673 1371903 1622171 1864381 2002663 2507271 2537587 2662809 3800329 4467479 4815421 4866513 5593143 6007989 7612761 8164703 8477657 11400987 11538839 13402437 14446263 15493649 21088223 24236953 24494109 25432971 34616517 37126291 46480947 47042959 58077227 63264669 72710859 106141139 110209541 111378873 141128877 174231681 201417437 236776387 318423417 330628623 449315821 482641783 604252311 611558467 710329161 1076662439 1347947463 1447925349 1834675401 1967693423 3078093031 3229987317 5841105673 5903080269 9234279093 13996611707 17523317019 25580014499 41989835121 57063109267 76740043497 171189327801 741820420471 2225461261413